Together, two wildlife refuge tour guides each lead eleven 45-minute tours each day. The wildlife refuge needs to calculate the person-hours for the tours to allocate enough money in their budget to pay the tour guides. What is the number of person-hours per day for the tours?

16.5

Step-by-step explanation:

Given that :

Number of refuge tour guides = 2

Number of tour guides = 11 per tour guide

Duration of each tour = 45 minutes

To calculate the person hour per day for the tour :

Person hour per day = (Total minute spent per day / 60)

Total minutes spent per day= (Number of tour guides) * (Number of refuge tour guides) * (duration per tour)

Total minute spent = (2 * 11 * 45) = 990 minutes

Person hour per day = 990 / 60

= 16.5

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.